Z - Solving Equations, Inequalities and Literals

One-Step/Two-Step Equations

100

c/14 = -3

c = -42

200

2x + 13 =13

x = 0

300

-67 = -8n + 5

n = 9

400

-4d + 6 + 2d = -14

d = 10

500

-t + 2 = 12

t = -10

Multi-Step Equations

100

2n + 5n + 7 = -42

n = -7

200

3c - 8c + 7 = -18

c = 5

300

2(3a + 2) = -8

a = -2

400

-3x + 9 = -3(x -3)

All Real Numbers

500

2/3g + 1/2g = 14

g = 12

Inequalities

100

Solve the inequality

12b -3b +5 >=-31

b>=-4

200

7n - 8n -3 < 23

n > -26

300

-5(x+2)>15

x <-5

400

-6x + 9 >= -2x -7

x<=4

500

-2(x+1) - 5 < 11

x > -9

Absolute Value Equations

100

|x|= 2

x = {-2, 2}

200

|x|= -3

No solution

300

|x+2|=5

x= {-7, 3}

400

|x-5|+2=10

x= {-3, 13}

500

2|x-3|+10=12

x = {2, 4}

Literal Equations

100

Solve ad = f for a

What is

a = f/d

 ?

200

Solve 2s + t = r for t

What is t = r - 2s?

300

Solve y = mx + b for x.

What is

(y - b)/m = x

?

400

Solve 5a - b = 7 for a.

What is

a = (7 + b)/5

?

500

Solve 2(j + k) = m for k

What is

k = m/2 - j

?